Least Common Multiple of 3490 and 3497
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3490 and 3497 the smallest integer that is 12204530 that is divisible by both numbers.
Least Common Multiple (LCM) of 3490 and 3497 is 12204530.
LCM(3490,3497) = 12204530
LCM of 3490 and 3497
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3490 and 3497 by Prime method
- Least Common Multiple of 3490 and 3497 with GCF Formula
LCM of 3490 and 3497 is 12204530
Least common multiple can be found by multiplying the highest exponent prime factors of 3490 and 3497. First we will calculate the prime factors of 3490 and 3497.
Prime Factorization of 3490
| 2 | 3490 |
| 5 | 1745 |
| 349 | 349 |
| 1 |
Prime factors of 3490 are 2, 5,349. Prime factorization of 3490 in exponential form is:
3490 = 21×51×3491
Prime Factorization of 3497
| 13 | 3497 |
| 269 | 269 |
| 1 |
Prime factors of 3497 are 13,269. Prime factorization of 3497 in exponential form is:
3497 = 131×2691
Now multiplying the highest exponent prime factors to calculate the LCM of 3490 and 3497.
LCM(3490,3497) = 21×51×131×2691×3491
LCM(3490,3497) = 12204530
Factors of 3490
List of positive integer factors of 3490 that divides 3490 without a remainder.
1, 2, 5, 10, 349, 698, 1745, 3490
Factors of 3497
List of positive integer factors of 3497 that divides 3497 without a remainder.
1, 13, 269, 3497
Least Common Multiple of 3490 and 3497 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3490 and 3497, than apply into the LCM equation.
GCF(3490,3497) = 1
LCM(3490,3497) = ( 3490 × 3497) / 1
LCM(3490,3497) = 12204530 / 1
LCM(3490,3497) = 12204530
Properties of LCM 3490 and 3497
(i) The LCM of 3497 and 3490 is associative
LCM of 3490 and 3497 = LCM of 3497 and 3490
Related Least Common Multiples of 3490
Related Least Common Multiples of 3497
Frequently Asked Questions on LCM of 3490 and 3497
1. What is the LCM of 3490 and 3497?
Answer: LCM of 3490 and 3497 is 12204530.
2. What are the Factors of 3490?
Answer: Factors of 3490 are 1, 2, 5, 10, 349, 698, 1745, 3490. There are 8 integers that are factors of 3490. The greatest factor of 3490 is 3490.
3. What are the Factors of 3497?
Answer: Factors of 3497 are 1, 13, 269, 3497. There are 4 integers that are factors of 3497. The greatest factor of 3497 is 3497.
4. How to Find the LCM of 3490 and 3497?
Answer:
Least Common Multiple of 3490 and 3497 = 12204530
Step 1: Find the prime factorization of 3490
3490 = 2 x 5 x 349
Step 2: Find the prime factorization of 3497
3497 = 13 x 269
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12204530 = 2 x 5 x 13 x 269 x 349
Step 4: Therefore, the least common multiple of 3490 and 3497 is 12204530.